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Finding the Fourth Proportional to 314,338.44, 471,503.04 and 77,681.11

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Solution

The fourth proportional to 314,338.44, 471,503.04 and 77,681.11 is: 116,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,338.44 : 471,503.04 = 77,681.11 : x
  2. Step 2: Convert to fraction form
    314,338.44/471,503.04 = 77,681.11/x
  3. Step 3: Cross multiply
    314,338.44x = 471,503.04 × 77,681.11
  4. Step 4: Simplify right side
    314,338.44x = 36,626,879,515.57
  5. Step 5: Solve for x
    x = 36,626,879,515.57/314,338.44
  6. Step 6: Final answer
    x = 116,520.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.